On monotonic behaviour of relative increments of unimodal distributions

[摘要] Sufficient conditions for monotonic behaviour of relative increment and hazard rate functions h of unimodal distributions of types U and J are being investigated, proved and then applied to some distributions. In addition, a general algorithm for checking monotonic properties of h is given, where we do not need the cumulative distribution function. Instead, we use the probability density function f and its first two derivatives only.

[学科分类] 数学（综合）

[关键词] relative increment function.